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Representing Wave Features
If a series of waves were moving in water from left
to right, the displacement of the medium (water)
can be tracked using a cork. The cork could be
seen to be going up and down.
Displacement-distance Graphs
An easy way to show the information in the
previous diagram is by using a graph of
particle displacement versus distance from
the source.
The Speed of Waves
Calculate:
1. The average speed of the
wave.
2. The horizontal speed of
particle P
3. The average vertical speed
of particle P between
t = 0 secs and t = 0.025 secs
Solutions
Find the error!!!
Frequency of a Wave
All mechanical waves must have a vibrating
source.
The frequency, f, of a source is the number of
vibrations (cycles) that are produced each
second. i.e. cycles per second.
1 cycle per second = 1 Hertz
Examples of Frequency
• What is the frequency of the second hand
of a clock?
Frequency = 1cycle/60 sec Period = 60 sec
What is the frequency of US Presidential
elections?
Frequency = 1 election/4 yrs Period = 4 yrs
Period of a Wave
The time interval for one cycle to be completed is called the Period, T,
and is measured in seconds.
The Period of a wave is best seen in a Displacement-Time Graph.
Frequency, f, and Period, T, show an inverse relationship and are
connected by the formula:
Where f is the frequency of the
wave in hertz (Hz)
T is the period of the
wave in seconds (s).
Wavelength
The Wavelength, λ, of a continuous wave is the distance
between two successive points of the same displacement and
moving in the same direction.
Amplitude
The amplitude, A, of a wave is the maximum displacement of a
particle from its mean (average) position.
THE WAVE EQUATION
The Wave Equation
TEXT: Page 239, Nos 6, 7, 9, 10.
2 wave features (7.2)
2 wave features (7.2)

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2 wave features (7.2)

  • 1. Representing Wave Features If a series of waves were moving in water from left to right, the displacement of the medium (water) can be tracked using a cork. The cork could be seen to be going up and down.
  • 2. Displacement-distance Graphs An easy way to show the information in the previous diagram is by using a graph of particle displacement versus distance from the source.
  • 3. The Speed of Waves Calculate: 1. The average speed of the wave. 2. The horizontal speed of particle P 3. The average vertical speed of particle P between t = 0 secs and t = 0.025 secs
  • 5. Frequency of a Wave All mechanical waves must have a vibrating source. The frequency, f, of a source is the number of vibrations (cycles) that are produced each second. i.e. cycles per second. 1 cycle per second = 1 Hertz
  • 6. Examples of Frequency • What is the frequency of the second hand of a clock? Frequency = 1cycle/60 sec Period = 60 sec What is the frequency of US Presidential elections? Frequency = 1 election/4 yrs Period = 4 yrs
  • 7. Period of a Wave The time interval for one cycle to be completed is called the Period, T, and is measured in seconds. The Period of a wave is best seen in a Displacement-Time Graph. Frequency, f, and Period, T, show an inverse relationship and are connected by the formula: Where f is the frequency of the wave in hertz (Hz) T is the period of the wave in seconds (s).
  • 8. Wavelength The Wavelength, λ, of a continuous wave is the distance between two successive points of the same displacement and moving in the same direction.
  • 9. Amplitude The amplitude, A, of a wave is the maximum displacement of a particle from its mean (average) position.
  • 11. The Wave Equation TEXT: Page 239, Nos 6, 7, 9, 10.

Editor's Notes

  1. This mentions Period even though it hasn’t been covered until the next slide. Perhaps ask students what they think Period might mean before showing next slide. Hopefully they can see the link (i.e. it’s how long one cycle takes in seconds).